Answer:
See below.
Step-by-step explanation:
We make use of the double angle formula :
cos 2θ = 2 cos^2θ - 1.
8cos^4(θ) = 3 + 4cos(2θ) + cos(4θ)
8cos^4(θ) = 3 + 4(2cos^2θ - 1) + cos(4θ)
8cos^4(θ) = 3 + 8cos^2θ - 4 + cos(4θ)
8cos^4(θ) = 8cos^2 θ - 1 + cos(4θ)
8cos^4(θ) = 8cos^2 θ - 1 + 2cos^2 2θ - 1
8cos^4(θ) = 2(4cos^2 θ + cos^2 2θ - 1)
4cos^4(θ) = 4cos^2 θ + cos^2 2θ - 1
4cos^4(θ) = 4cos^2 θ + (2 cos^2 θ - 1)^2- 1
4cos^4(θ) = 4cos^2 θ + 4cos^4 θ - 4cos^2θ + 1 - 1
4 cos^4 θ = 4 cos^4 θ.
- Verified.
Phew!! That was a long one.
Volume of a Cylinder is given by : π × (radius)² × (height)
Given : Radius of the Base = 1.4 cm
Given : Volume of the Cylinder = 36.96 cm³
Substituting the respective values in the Formula, We get :
We know, equation of ellipse is given by :
Here,
(h,k) is centre of the ellipse = (0,0).
a = major axis = 8.
b = minor axis = 4.
Putting all given value in above equation, we get :
Hence, this is the required solution.
Answer:
b
Step-by-step explanation:
Answer: p = 1/5
Step-by-step explanation:
-5(p + 3/5) = -4
Distribute
-5p - 3 = -4
Add 3 to both sides
-5p = -1
Divide by -5 on both sides
p = 1/5